122059580160 has 432 divisors, whose sum is σ = 469131112800. Its totient is φ = 26936082432.

The previous prime is 122059580129. The next prime is 122059580179. The reversal of 122059580160 is 61085950221.

It is a super-2 number, since 2×122059580160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5445456 + ... + 5467824.

It is an arithmetic number, because the mean of its divisors is an integer number (1085951650).

Almost surely, 2^122059580160 is an apocalyptic number.

122059580160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122059580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234565556400).

122059580160 is an abundant number, since it is smaller than the sum of its proper divisors (347071532640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122059580160 is a wasteful number, since it uses less digits than its factorization.

122059580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22436 (or 22415 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 122059580160 in words is "one hundred twenty-two billion, fifty-nine million, five hundred eighty thousand, one hundred sixty".